34.76
o
, nearly.
Explanation:
Angle of elevation = arc tan( (vertical height)/(length os the shadow)).
Here, this angle is
arc tan (12.5
/
18) =
34.78
o
, nearly
C..................................................
A) Ms.Wright receive $12 as interest at the end of 1/2 year.
B) Ms.Wright receive $24 as interest at the end of 1 year.
Step-by-step explanation:
The sum deposited in the bank = Principle = $800
The rate of simple interest = 3%
The time = 6 months = (6/12) years = 0.5 years

So, here simple interest = $12.
So Ms.Wright receive $12 as interest at the end of 1/2 year.
B) Now here Time = 1 year
so, Simple interest = 
So Ms.Wright receive $24 as interest at the end of 1 year.
Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where
represents the scalar factor.
We can find value of
for the given co-ordinates by finding the ratio of
or
co-ordinates of the image and pre-image.

For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of 
or 
As we get
for both ratios i.e of
and
co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image
Image
Pre-Image
Image
(Answer)